0=8x^2+6x+1

Simple and best practice solution for 0=8x^2+6x+1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=8x^2+6x+1 equation: 


Simplifying
0 = 8x2 + 6x + 1

Reorder the terms:
0 = 1 + 6x + 8x2

Solving
0 = 1 + 6x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -6x + -8x2 = 1 + 6x + 8x2 + -1 + -6x + -8x2

Reorder the terms:
-1 + -6x + -8x2 = 1 + -1 + 6x + -6x + 8x2 + -8x2

Combine like terms: 1 + -1 = 0
-1 + -6x + -8x2 = 0 + 6x + -6x + 8x2 + -8x2
-1 + -6x + -8x2 = 6x + -6x + 8x2 + -8x2

Combine like terms: 6x + -6x = 0
-1 + -6x + -8x2 = 0 + 8x2 + -8x2
-1 + -6x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-1 + -6x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 6x + 8x2) = 0

Factor a trinomial.
-1((1 + 2x)(1 + 4x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-0.5, -0.25}

See similar equations:

| 3*ln(2)-3*ln(1)= | | 0=8x^2+6x+30 | | 0.4(4x+8)=1.1-(x-2) | | -16t^2+95+144=h | | k-3k=1+(2+k)(1-k) | | (X+5)(x-5)(5x-3)=0 | | 2/9y-6=10 | | 17x-10-11x=3(2x-4)+2 | | ax^2+bx+c=96 | | 86/15-x | | -7.2m=-422.64 | | 13x-5=4x+15 | | X-N=3XN^2 | | x-0.11=-.11 | | 9.3m-3.7=22.34 | | -6p+47=11 | | x-0.11= | | 3x=9x-6 | | 12x-40=8 | | 17x-70= | | x-.11= | | 9f=2/1(12f−2) | | 0=5x^2+3x-8 | | y=k2-49/64 | | Sen(3*x)-sen(x)=0 | | 21+14x=11x+9 | | 17x-50= | | 24+x=31 | | (x+20)+(x+25)=3x+20 | | -3y(5y+2)= | | 2(7x-5)(6x+5)=0 | | 4x^2-8=-12 |

Equations solver categories